Existence of solutions to an initial value problem for the differential equation f (t, x, x′) = 0 using barrier strips

P. S. Kelevedjiev; D. O'Regan; J. Seman

doi:10.1016/j.na.2006.07.032

Existence of solutions to an initial value problem for the differential equation f (t, x, x^′) = 0 using barrier strips

P. S. Kelevedjiev
, D. O'Regan
, J. Seman

Mathematics

Technical University of Sliven
University of Presov in Presov

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

Abstract

Under sign assumptions we investigate the global existence of solutions of the initial value problem f (t, x, x^′), x (0) = A, where the function f (t, x, p) may be singular at x = A.

Original language	English
Pages (from-to)	1504-1512
Number of pages	9
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	67
Issue number	5
DOIs	https://doi.org/10.1016/j.na.2006.07.032
Publication status	Published - 1 Sept 2007

Keywords

Existence
First order differential equations
Global solutions
Initial value problems
Singularity

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10.1016/j.na.2006.07.032

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title = "Existence of solutions to an initial value problem for the differential equation f (t, x, x′) = 0 using barrier strips",

abstract = "Under sign assumptions we investigate the global existence of solutions of the initial value problem f (t, x, x′), x (0) = A, where the function f (t, x, p) may be singular at x = A.",

keywords = "Existence, First order differential equations, Global solutions, Initial value problems, Singularity",

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AU - Kelevedjiev, P. S.

AU - O'Regan, D.

AU - Seman, J.

PY - 2007/9/1

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N2 - Under sign assumptions we investigate the global existence of solutions of the initial value problem f (t, x, x′), x (0) = A, where the function f (t, x, p) may be singular at x = A.

AB - Under sign assumptions we investigate the global existence of solutions of the initial value problem f (t, x, x′), x (0) = A, where the function f (t, x, p) may be singular at x = A.

KW - Existence

KW - First order differential equations

KW - Global solutions

KW - Initial value problems

KW - Singularity

UR - https://www.scopus.com/pages/publications/34247400329

U2 - 10.1016/j.na.2006.07.032

DO - 10.1016/j.na.2006.07.032

M3 - Article

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VL - 67

SP - 1504

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JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5

ER -

Existence of solutions to an initial value problem for the differential equation f (t, x, x^′) = 0 using barrier strips

Abstract

Keywords

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